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Ergodic Aspects

  • Edson de Faria,
  • Pablo Guarino

摘要

In this chapter we examine multicritical circle maps from the point of view of measurable dynamics. We have seen in Theorem 2.3 that every homeomorphism of the circle without periodic points is uniquely ergodic. In particular, every multicritical circle map f with irrational rotation number is uniquely ergodic.